| Title | Conservative logarithmic reconstructions and finite volume methods |
| Authors | Robert Artebrant, Achim Schroll |
| Alternative Location | http://dx.doi.org/10.1137/0..., Restricted Access |
| Publication | SIAM Journal on Scientific Computing |
| Year | 2005 |
| Volume | 27 |
| Issue | 1 |
| Pages | 294 - 314 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Siam Publications |
| Abstract English | A class of high-order reconstruction methods based on logarithmic functions is presented. Inspired by Marquina's hyperbolic method, we introduce a double logarithmic ansatz of fifth order of accuracy. Low variation is guaranteed by the ansatz and (slope-) limiting is avoided. The method can reconstruct smooth extrema without order reduction. Fifth order of convergence is verified in a numerical experiment governed by the nonlinear Euler system. Numerical experiments, including the Osher-Shu shock/acoustic interaction, are presented. |
| Keywords | high-order reconstruction, conservation law, finite volume method, |
| ISBN/ISSN/Other | ISSN: 1064-8275 |
Questions: webmaster
Last update: 2013-04-11
Centre for Mathematical Sciences, Box 118, SE-22100, Lund. Telefon: +46 46-222 00 00 (vx)